Finding the Third Proportional to 10,436 and 15,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,436 : 15,658.50 = 15,658.50 : x
2. Step 2: Convert to fraction form
   10,436/15,658.50 = 15,658.50/x
3. Step 3: Cross multiply
   10,436x = 15,658.50 × 15,658.50
4. Step 4: Simplify right side
   10,436x = 245,188,622.25
5. Step 5: Solve for x
   x = 245,188,622.25/10,436
6. Step 6: Final answer
   x = 23,494.50